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Old 12-10-2007, 02:50 AM
VijaKhara
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Default shifting and scaling for 2 D function

Hi all,
Can you please help? I am always confused with shifting and scaling.
For example:

Assume g(x,y)=f(2x,2y)

if h(x,y)=g(5x-3y,3y+3x) then
my question is if
h(x,y)=f(10x-3y,6y+3x) or h(x,y)=f(10x-6y,12y+6x)??


From 1-D function, I see if g(x)=f(2x) and h(x)=g(x-5) then
h(x)=f(2x-5). So I guess similarly for 2-D, h(x,y) should be f(10x-3y,
6y+3x).

Am I correct?
Thanks
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Old 12-12-2007, 04:27 AM
[email protected]
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Default Re: shifting and scaling for 2 D function

On Dec 9, 8:50 pm, VijaKhara <VijaKh...@gmail.com> wrote:
> Hi all,
> Can you please help? I am always confused with shifting and scaling.
> For example:
>
> Assume g(x,y)=f(2x,2y)
>
> if h(x,y)=g(5x-3y,3y+3x) then
> my question is if
> h(x,y)=f(10x-3y,6y+3x) or h(x,y)=f(10x-6y,12y+6x)??
>
> From 1-D function, I see if g(x)=f(2x) and h(x)=g(x-5) then
> h(x)=f(2x-5). So I guess similarly for 2-D, h(x,y) should be f(10x-3y,
> 6y+3x).
>
> Am I correct?
> Thanks


Nope. From your definitions, h(x,y) = f(10x-6y,6y+6x).

Jason
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